Definition ∞ QMA Arguments are quantum analogues of classical NP Arguments, involving quantum proofs for quantum computations. This refers to proof systems for problems belonging to the complexity class QMA (Quantum Merlin-Arthur), where a quantum prover provides a quantum state as a proof to a quantum verifier. The verifier then performs a quantum computation to check the proof’s validity. These arguments are central to understanding the limits of quantum computation and its verification.
Context ∞ QMA Arguments are a theoretical concept in quantum complexity theory, with implications for the security of future cryptographic systems and the power of quantum computers. Research focuses on understanding the properties of these quantum proofs and their relationship to classical complexity classes. Future developments in quantum computing may bring QMA Arguments closer to practical relevance, particularly in verifiable quantum computation.
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